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1332864 = 27321389
BaseRepresentation
bin101000101011010000000
32111201100100
411011122000
5320122424
644322400
714220621
oct5053200
92451310
101332864
11830445
12543400
133788a0
14269a48
151b4dc9
hex145680

1332864 has 96 divisors (see below), whose sum is σ = 4176900. Its totient is φ = 405504.

The previous prime is 1332853. The next prime is 1332893. The reversal of 1332864 is 4682331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 166464 = 1080^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14932 + ... + 15020.

21332864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088450).

1332864 is an abundant number, since it is smaller than the sum of its proper divisors (2844036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1332864 is a wasteful number, since it uses less digits than its factorization.

1332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1332864 is about 1154.4972931973. The cubic root of 1332864 is about 110.0513259099.

The spelling of 1332864 in words is "one million, three hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 89 96 104 117 128 144 156 178 192 208 234 267 288 312 356 384 416 468 534 576 624 712 801 832 936 1068 1152 1157 1248 1424 1602 1664 1872 2136 2314 2496 2848 3204 3471 3744 4272 4628 4992 5696 6408 6942 7488 8544 9256 10413 11392 12816 13884 14976 17088 18512 20826 25632 27768 34176 37024 41652 51264 55536 74048 83304 102528 111072 148096 166608 222144 333216 444288 666432 1332864